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Although this makes the analytical model not so realistic, the analytical study becomes much easier.
Furthermore, reduced pipetting steps by as much as 90% and a unique degree of hands-free automation makes the analytical possibilities for this instrumentation far reaching.
The use of a passive tuned mass damper to control the galloping amplitude increases the degrees of freedom of the structure which makes the analytical solution for the galloping amplitude more difficult.
As an example we consider a case study for a simple network with two routes and use a simple linear outflow controller, which makes the analytical investigation of the effects of the controller possible, but the results can be extended to more sophisticated control methods.
As a consequence they must be described using PDEs which, in turns, makes the analytical approach even more difficult.
Although this makes the analytical part of a shotgun study computationally intensive, the advantages over DAS are numerous.
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The state-of-the-art microfluidic technology targets a wider range but smaller volumes of analytes, making the analytical procedure relatively easier and faster.
For Bluefin, it almost seems inevitable that the company would have eventually joined — or else been killed by — Twitter, such was their dependency on the social network for data to make the analytical wheels turn.
In order to make the analytical method comparable to the numerical model, a procedure has been developed to calculate the energy requirement at the heat exchanger for unit length of trench.
The dt/dE E curves have been obtained by making the analytical or numerical reciprocal of the time derivative of the analytical equations corresponding to the chronopotentiograms (potential time curves) deduced in a previous paper in cyclic chronopotentiometry.
We mention that the tool developed in [4], [5] to make the analytical type estimates and the special structure of the nonlinear terms to this system play an essential role in the proof of this result.
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